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- Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either call her on the land-line phone for five cents per minute or he can drive to see her, at a round—trip cost of 2 in gasoline money. He has a total of 10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses a handy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values in Table 6.6, figure out the points 011 Jeremys consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point.The rules of politics are not always the same as the rules of economics. In discussions of setting budgets for government agencies, there is a strategy called closing the Washington Monument. When an agency faces the unwelcome prospect of a budget cut, it may decide to close a high-visibility attraction enjoyed by many people (like the Washington Monument). Explain in terms of diminishing marginal utility why the Washington Monument strategy is So misleading. Hint: If you are really trying to make the best of a budget cut, should you cut the items in your budget with tile highest marginal utility or line lowest marginal utility? Does the Washington Monument strategy cut the items with the highest marginal utility or line lowest marginal utility?Would you expect total utility to rise or fall with additional consumption of a good? Why?
- Is it possible for total utility to increase while marginal utility diminishes? Explain.Take Jeremys total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremys utility.Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utility—maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.
- Graph the following dataQuantity marginal utility1 153 2 112 3 77 4 48 5 25 6 8 7 -3 8 -8Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it.Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it. Can you…